23 citations · 54 across the 20 of their papers we have counts for
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The Standard Laplace Operator
Uwe Semmelmann, Gregor Weingart
The standard Laplace operator is a generalization of the Hodge Laplace operator on differential forms to arbitrary geometric vector bundles, alternatively it can be seen as general…
Sequences of Orthogonal Polynomials related to Isotropy Orbits of Symmetric Spaces
Gregor Weingart
Studying the isotropy orbits of compact symmetric spaces Reiswich introduced a family of explicit polynomials in one variable in order to describe the unique minimal isotropy orbit…
Moduli Spaces of Affine Homogeneous Spaces
Gregor Weingart
Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a…
Riemannian and Kählerian Normal Coordinates
Tillmann Jentsch, Gregor Weingart
In every point of a Kähler manifold there exist special holomorphic coordinates well adapted to the underlying geometry. Comparing these Kähler normal coordinates with the Riemanni…
About the Eta-Invariants of Berger Spheres
Gregor Weingart
The integral of the top dimensional term of the multiplicative sequence of Pontryagin forms associated to an even formal power series is calculated for special Riemannian metrics o…
Moments of Sectional Curvature
Gregor Weingart
The sectional curvature of a compact Riemannian manifold M can be seen as a random variable on the Grassmann bundle of 2-planes in TM endowed with the Fubini-Study volume density.…